Question

A system is taken through a cyclic process represented by a circle as shown. The heat absorbed by the system is

• A. $\pi \times {10}^3\text{J}$
• B. $\frac{\pi }{2}\text{J}$
• C. $4\pi \times {10}^2\text{J}$
• D. $\pi \text{J}$

Answer 1

The correct option is B

$\frac{\pi }{2}\text{J}$

In cyclic process $\Delta Q=$ Work done = Area inside the closed curve. Treat the circle as an ellipse of area $=\frac{\pi }{4}(P_2-P_1)$

$(V_2-V_1)=\frac{\pi }{2}\text{J}$